Compressible Falkner-Skan-Cooke solver

Solves the Falkner-Skan-Cooke equations by computing the compressible similarity solutions for a swept-wing boundary layer at Pr=1 using the Stewartson transformation.

This is updated to build and run with gfortran on Darwin and Linux.

Building

to run a test problem simply build using

ln -s gcc.mak Makefile
make all

Running

To run FSC enter the following:

./fsc < test.inp

or for the attachment line problem

./attach < at.inp

The Blasius Tollmein-Schlichting case from Collis Ph.D. thesis Chapter 4 is run using:

./fsc < blasius.inp

See stab/thesis for more details including linear stability analysis for this flow.

Notes:

1. The gcc.mak uses gfortran and should be rather portable. There are other, old, *.mak that you may find helpful but they have not been updated.

2. One may, optionally, use Numerical Recipes integration if you have the code (not supplied) and are licensed to use it. To do so, build by using:

   make USE_NR=1

   this assumes that you have placed the needed NR routines in nr_runge.f90 (again not supplied).

3. Note that you do not need NR software as there is not equivalent public domain software that we now use.

4. The primary output files are cprofile.dat and sprofile.dat these are to be compared with cprofile.ref and sprofile.ref after running

   ./fsc < test.inp

Also contains publically available software PPPack from NetLib.org.

Additional Information

Here are some typical parameters for this code.

Case 1:

M_inf = 0.1, R=80000
lambda = 45 deg
BetaH = 1
Tw = 1, T0 = 1, muw = 1
T0/TN0 = 1.001
f'', g'
1.2332556981943E+00  5.7053820816947E-01`

Case 2: (Blasius TS case Collis, Ch. 4, Ph.D. thesis)

M_inf = 0.3, R=1000
lambda = 0
BetaH = 0
Tw = 1, T0=1, muw =1
f'', g'
4.6959998836720E-01  4.6959998883669E-01`

Or equivalently: $M_\infty = 0.3$, $R_\delta{_1} = 1000$, $\lambda = 0$, $\beta_h = 0$, $T_w = 1$, $T_0 = 1$, $\mu_w = 1$ with initial guesses $f'' = 4.6959998836720\times10^{-1}$ and $g' = 4.6959998883669\times10^{-1}$.

S. Scott Collis
flow.physics.simulation@gmail.com